CN113916865B - Online Raman measurement method for air retention performance of hollow microspheres - Google Patents
Online Raman measurement method for air retention performance of hollow microspheres Download PDFInfo
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- 239000004005 microsphere Substances 0.000 title claims abstract description 140
- 238000000034 method Methods 0.000 title claims abstract description 42
- 230000014759 maintenance of location Effects 0.000 title claims abstract description 16
- 238000003841 Raman measurement Methods 0.000 title claims abstract description 7
- 239000002737 fuel gas Substances 0.000 claims abstract description 42
- 239000007789 gas Substances 0.000 claims abstract description 32
- 238000001069 Raman spectroscopy Methods 0.000 claims abstract description 25
- 238000001228 spectrum Methods 0.000 claims abstract description 11
- 238000004364 calculation method Methods 0.000 claims abstract description 8
- 238000001237 Raman spectrum Methods 0.000 claims abstract description 7
- 239000011521 glass Substances 0.000 claims abstract description 7
- 238000012545 processing Methods 0.000 claims abstract description 4
- 230000008569 process Effects 0.000 claims description 17
- 230000003595 spectral effect Effects 0.000 claims description 15
- 230000008859 change Effects 0.000 claims description 6
- 238000004445 quantitative analysis Methods 0.000 claims description 6
- 229920000642 polymer Polymers 0.000 claims description 4
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 claims description 3
- 238000012937 correction Methods 0.000 claims description 3
- 230000001419 dependent effect Effects 0.000 claims description 3
- 238000002156 mixing Methods 0.000 claims description 3
- 229910052710 silicon Inorganic materials 0.000 claims description 3
- 239000010703 silicon Substances 0.000 claims description 3
- 230000003068 static effect Effects 0.000 claims description 3
- 230000001788 irregular Effects 0.000 claims 1
- 239000011257 shell material Substances 0.000 abstract 1
- 238000005259 measurement Methods 0.000 description 5
- 238000001514 detection method Methods 0.000 description 4
- 238000000691 measurement method Methods 0.000 description 4
- 238000012360 testing method Methods 0.000 description 4
- 238000002474 experimental method Methods 0.000 description 3
- 230000003287 optical effect Effects 0.000 description 3
- 238000013461 design Methods 0.000 description 2
- 238000010586 diagram Methods 0.000 description 2
- 238000011156 evaluation Methods 0.000 description 2
- 239000000446 fuel Substances 0.000 description 2
- 230000004927 fusion Effects 0.000 description 2
- 238000010521 absorption reaction Methods 0.000 description 1
- XKRFYHLGVUSROY-UHFFFAOYSA-N argon Substances [Ar] XKRFYHLGVUSROY-UHFFFAOYSA-N 0.000 description 1
- 229910052786 argon Inorganic materials 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000006243 chemical reaction Methods 0.000 description 1
- 238000000794 confocal Raman spectroscopy Methods 0.000 description 1
- 230000001066 destructive effect Effects 0.000 description 1
- 229910052805 deuterium Inorganic materials 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 238000000608 laser ablation Methods 0.000 description 1
- 238000004949 mass spectrometry Methods 0.000 description 1
- 238000012544 monitoring process Methods 0.000 description 1
- 239000008188 pellet Substances 0.000 description 1
- 238000011056 performance test Methods 0.000 description 1
- 238000003825 pressing Methods 0.000 description 1
- 238000000790 scattering method Methods 0.000 description 1
- 230000035945 sensitivity Effects 0.000 description 1
- 230000008685 targeting Effects 0.000 description 1
- 230000007704 transition Effects 0.000 description 1
Classifications
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/62—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light
- G01N21/63—Systems in which the material investigated is excited whereby it emits light or causes a change in wavelength of the incident light optically excited
- G01N21/65—Raman scattering
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N21/00—Investigating or analysing materials by the use of optical means, i.e. using sub-millimetre waves, infrared, visible or ultraviolet light
- G01N21/01—Arrangements or apparatus for facilitating the optical investigation
-
- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
- Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
- Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
- Y02E30/00—Energy generation of nuclear origin
- Y02E30/30—Nuclear fission reactors
Abstract
The invention discloses an online Raman measurement method of the air retention performance of hollow microspheres, which comprises the following steps: step one, carrying out spectrum acquisition on fuel gas in the hollow microspheres based on a Raman spectrometer; step two, carrying out data processing of characteristic peak areas on fuel gas in the hollow microspheres; the Raman spectrum in a proper range is selected, the peak position fitting is carried out after the peak spectrum range is determined, and the characteristic peak area is obtained; step three, obtaining a fitting curve of the air pressure-characteristic peak area; and step four, carrying out online gas-retaining half-life calculation on fuel gas in the hollow microspheres. The Raman spectroscopy provided by the invention is a nondestructive, rapid and sensitive method for measuring the gas-retaining half life of the gas in the hollow microspheres, is not limited by spherical shell materials, is applicable to the glass hollow microspheres and the plastic hollow microspheres used at present, and can measure the gas-retaining half life of the hollow microspheres to various fuel gases; the method can measure a large amount of samples in a short time, and is little interfered by a system.
Description
Technical Field
The invention relates to the field of inertial confinement fusion target pellet performance test, in particular to an online Raman measurement method for the air retention performance of hollow microspheres.
Background
In Inertial Confinement Fusion (ICF) physical experiments, more fuel containers including multi-layer polymeric hollow microspheres and hollow microspheres are used. The hollow microsphere commonly used in the physical experiment at present needs to be filled with fuel gas-deuterium (D 2 ) And trace gas-argon (Ar), etc. In general, physical experiments have clear requirements on the content of fuel gas, and the hollow microspheres are taken out from a gas tank to the middle of the zero moment of targeting, and the target conveying and setting time is over a plurality of hours, so that the gas pressure in the spheres is always lower than the design gas pressure. In order to make the pressure in the ball more approximate to the design requirement during laser ablation and to obtain the actual gas pressure in the target ball at zero time, it is necessary to improve the gas-retaining half life of the microsphere and develop nondestructive measurement technology of the gas-retaining half life of the microsphere.
In the existing measurement method, the bubble pressing method and the four-stage mass spectrometry are destructive measurement methods, a certain number of microspheres are needed to be used as samples at different time points, and the gas-retaining half life of the microspheres in a batch is estimated by obtaining the internal air pressure of the samples at different time points, so that the method is greatly influenced by individual differences of the microspheres, and the gas-retaining half life of the individual microspheres cannot be obtained. The white light interference vertical scanning method and the microscopic confocal Raman method are two nondestructive measurement modes of the air pressure or half life in the transparent microsphere. The white light interference vertical scanning method can accurately measure the gas pressure in the transparent microsphere, the gas pressure in the microsphere is obtained by obtaining the original size of the transparent microsphere, and the optical path change and the microsphere expansion amplitude after filling the fuel gas are calculated, so that the process is relatively complex; and the gas-retaining half life of the microsphere is indirectly obtained by observing the change of the Raman characteristic absorption peak area of the gas in the microsphere through a microscopic confocal Raman spectroscopy, so that the process is simpler.
Disclosure of Invention
It is an object of the present invention to address at least the above problems and/or disadvantages and to provide at least the advantages described below. To achieve these objects and other advantages and in accordance with the purpose of the invention, there is provided an in-line raman measurement method of air retention properties of hollow microspheres, comprising:
step one, carrying out spectrum acquisition on fuel gas in the hollow microspheres based on a Raman spectrometer;
step two, carrying out data processing of characteristic peak areas on fuel gas in the hollow microspheres; the Raman spectrum in a proper range is selected, the peak position fitting is carried out after the peak spectrum range is determined, and the characteristic peak area is obtained;
step three, obtaining a fitting curve of the air pressure-characteristic peak area;
and step four, carrying out online gas-retaining half-life calculation on fuel gas in the hollow microspheres.
Preferably, in the first step, the process is as follows: turning on a computer and a Raman spectrometer power supply, and performing equipment correction on the Raman spectrometer by using a silicon wafer; taking out the hollow microspheres to be detected filled with fuel gas from the gas holder, and adsorbing and fixing the hollow microspheres to be detected on a glass slide of a Raman spectrometer by using a static film; sequentially using 10X and 50X objective lenses to find the vertex of the hollow microsphere, and then focusing on the center point of the hollow microsphere; and after focusing is completed on the hollow microspheres, setting experimental parameters and detecting.
Preferably, in the second step, the process is as follows: since the hollow microspheres can be glass hollow microspheres or multi-layer polymer hollow microspheres, the interior D thereof 2 Gas S 0 The strongest characteristic lines of the stage are all in a smaller wavenumber range, i.e. 150cm -1 ～600cm -1 And 415.67cm -1 The spectral line at the position is far away from other spectral lines, the spectral line intensity is also larger, and the characteristic peak area is easier to obtain, so 415.67cm is selected -1 And (3) taking the spectral line at the position as a basis of quantitative analysis, performing peak position fitting by using LabSpec-6 software according to the selected spectral line through a Gao Sige Lorentz mixing function, and taking the average value of multiple times of calculation to obtain the characteristic peak area.
Preferably, in the third step, the process is as follows: the quantitative analysis function of a Raman spectrometer is used irregularly in the Deltat time period, the characteristic peak area of the characteristic spectrum of the fuel gas in the hollow microsphere is repeatedly tracked and measured for 5 times by the method of the step two, and the obtained A is obtained 1 、A 2 、A 2 、A 3 、A 5 And (3) taking natural logarithms and performing linear fitting on the obtained 5 data and the corresponding air pressure, thereby obtaining a fitting curve of air pressure-characteristic peak area.
Preferably, in the fourth step, it includes: s41, acquiring air pressure data of the multiple hollow microspheres in a plurality of periods; the process comprises the following steps: collecting all characteristic peak area data of 6 hollow microspheres in 5 periods by the method of the second step; thirdly, converting to obtain air pressure data of 6 hollow microspheres in 5 periods according to the fitting curve of the air pressure-characteristic peak area in the third step;
s42, deducing and calculating to obtain the gas-retaining half life of the hollow microspheres; the process comprises the following steps: according to the air pressure data of the hollow microsphere No. 1 in the step S41 in 5 periods, so as to obtain an air pressure-time fitting curve of the hollow microsphere No. 1, the change of the fuel gas in the hollow microsphere along with time follows the following formula:
wherein: t is the air retention time of the hollow microsphere and P 0 Pressure of internal fuel gas, P, at t=0 after inflation of hollow microspheres t The pressure of the fuel gas in the hollow microsphere after the time t is elapsed; the half life of the hollow microsphere is that the air pressure in the hollow microsphere is reduced to P 0 Half the time required; the method can obtain the following steps:
wherein: t is t 1/2 The gas is preserved for the hollow microsphere for half the service life; due to the intensity of the Raman scattered light, i.e. the characteristic peak area and D 2 The gas concentration is linearly related to D 2 The gas concentration is also linearly dependent on the pressure, and can be obtained:
wherein: a is that 0 Characteristic peak area of fuel gas when t=0 after inflation in the microsphere; a is that t The characteristic peak area of the fuel gas in the hollow microsphere after t time; characteristic peak area data a for 6 hollow microspheres in S41 at t=0/t=672 0 The air-retaining half life of the 6-shot hollow microspheres can be obtained by bringing the At into a formula; thus, the calculation of the gas retention half life of the fuel gas in the hollow microspheres at normal temperature is completed.
The invention at least comprises the following beneficial effects:
the laser Raman scattering method is an accurate and advanced test means, the patent is used for researching the application aspect of measuring the gas retention performance of the gas in the hollow microsphere, the gas content in the hollow microsphere is analyzed and detected by effectively tracking the change of the Raman intensity of the gas in the hollow microsphere of a detection object, the half life of the gas in the hollow microsphere is obtained by a regression curve parameter method, the nondestructive monitoring and evaluation of the gas retention performance in the hollow microsphere are realized, the requirements of optical methods such as white light interference on the transparency of the hollow microsphere are overcome, and the gas sensitivity and the detection limit are improved. Additional advantages, objects, and features of the invention will be set forth in part in the description which follows and in part will become apparent to those having ordinary skill in the art upon examination of the following or may be learned from practice of the invention.
Drawings
FIG. 1 is an optical structure diagram of a fuel gas quantitative detection system in hollow microspheres of the present invention;
FIG. 2 is a cross-sectional view of the hollow microsphere and the multi-layered polymer hollow microsphere of the present invention;
FIG. 3 is a schematic diagram of focusing the hollow microsphere at the vertex of the 10X objective lens;
FIG. 4 is a schematic view of focusing the hollow microsphere at the vertex of the 50X objective lens;
FIG. 5 is a schematic view of focusing the center of a hollow microsphere under a 50X objective lens;
FIG. 6 shows the interior D of the hollow microsphere of the present invention 2 A rotational transition raman spectrum of the gas;
FIG. 7 is a Raman spectrum of 5 tests of hollow microspheres of the present invention;
FIG. 8 is a graph of fit of fuel gas pressure to characteristic peak area in hollow microspheres of the present invention;
FIG. 9 is a graph of fit of fuel gas pressure to time in hollow microspheres of the present invention;
Detailed Description
The present invention is described in further detail below with reference to the drawings to enable those skilled in the art to practice the invention by referring to the description. It will be understood that terms, such as "having," "including," and "comprising," as used herein, do not preclude the presence or addition of one or more other elements or groups thereof.
Example 1:
the online Raman measurement method of the air retention performance of the hollow microsphere comprises the following steps:
step one, carrying out spectrum acquisition on fuel gas in the hollow microspheres based on a Raman spectrometer (as shown in figure 1); the process comprises the following steps: turning on a computer and a Raman spectrometer power supply, and performing equipment correction on the Raman spectrometer by using a silicon wafer; taking out the hollow microspheres to be detected filled with fuel gas from the gas holder, and adsorbing and fixing the hollow microspheres to be detected on a glass slide of a Raman spectrometer by using a static film; sequentially using a 10X objective lens and a 50X objective lens to find the vertex of the hollow microsphere (shown in figures 3 and 4), and then focusing on the center point of the hollow microsphere (shown in figure 5); after focusing is completed on the hollow microspheres, experimental parameters (as shown in table 1) are set and then detection is carried out.
TABLE 1
Step two, carrying out data processing of characteristic peak areas on fuel gas in the hollow microspheres; the Raman spectrum in a proper range is selected, the peak position fitting is carried out after the peak spectrum range is determined, and the characteristic peak area is obtained; the process comprises the following steps: (FIG. 2) since the hollow microspheres may be glass hollow microspheres 1 or multilayered polymer hollow microspheres 2, the interior D thereof 2 Gas S 0 The strongest characteristic lines of the stage are all in a smaller wavenumber range, i.e. 150cm -1 ～600cm -1 And 415.67cm -1 The spectral line at the position is far away from other spectral lines, the spectral line intensity is also larger, and the characteristic peak area is easier to obtain, so 415.67cm is selected -1 The spectral line at the position is used as the basis of quantitative analysis (as shown in figure 6), according to the selected spectral line, labSpec-6 software is adopted to perform peak position fitting through Gao Sige Lorentz mixing function, and the average value calculated for a plurality of times is taken to obtain the characteristic peak area.
Step three, obtaining a fitting curve of the air pressure-characteristic peak area; the process comprises the following steps: the quantitative analysis function of the Raman spectrometer is used irregularly in the Deltat time period, the characteristic peak area of the characteristic spectrum of the fuel gas in the hollow microsphere is repeatedly tracked and measured for 5 times by the method of the second step (as shown in figure 7), and the obtained A is obtained 1 、A 2 、A 2 、A 3 、A 5 Is obtained by taking natural logarithms and performing linear fitting with corresponding air pressure to obtain a fitting curve of air pressure-characteristic peak area(see FIG. 8).
TABLE 2
| Sequence number | 1 | 2 | 3 | 4 | 5 |
| Atmospheric pressure/atm | 12.08 | 12.25 | 7.56 | 13.49 | 11.97 |
| Raman peak area | 7038.45 | 7616.992 | 4769.408 | 7953.276 | 6873.604 |
Step four, carrying out online gas-retaining half-life calculation on fuel gas in the hollow microspheres; it comprises the following steps:
s41, acquiring air pressure data of the multiple hollow microspheres in a plurality of periods; the process comprises the following steps: collecting all characteristic peak area data of 6 hollow microspheres in 5 periods by a method of the second step (as shown in table 3); and then according to the fitting curve of the air pressure in the third step and the characteristic peak area (shown in figure 8), obtaining air pressure data of 6 hollow microspheres in 5 periods in a conversion mode (shown in table 4).
TABLE 3 Table 3
TABLE 4 Table 4
| Sequence number | t＝0 | t＝168h | t＝336h | t＝504h | t＝672 |
| 1 | 12.29286834 | 10.125696 | 9.912312873 | 7.941853099 | 6.548194579 |
| 2 | 13.21308305 | 12.17617444 | 11.93611843 | 9.805621312 | 9.082119161 |
| 3 | 15.66032074 | 15.06351482 | 13.90324409 | 12.55292902 | 12.20951555 |
| 4 | 10.63581502 | 10.30907212 | 9.462207848 | 8.988764045 | 8.928750042 |
| 5 | 14.4667089 | 14.290001 | 12.52959024 | 12.49624912 | 12.33954589 |
| 6 | 11.41266295 | 11.26929617 | 11.1892775 | 11.23262094 | 10.70249725 |
S42, deducing and calculating to obtain the gas-retaining half life of the hollow microspheres; the process comprises the following steps: from the air pressure data of the hollow microsphere No. 1 in S41 (as in table 4) over 5 periods, a fitted air pressure-time curve of the hollow microsphere No. 1 is obtained (as in fig. 9), and then the change of the fuel gas in the hollow microsphere over time follows the following formula:
wherein: t is the air retention time of the hollow microsphere and P 0 Pressure of internal fuel gas, P, at t=0 after inflation of hollow microspheres t The pressure of the fuel gas in the hollow microsphere after the time t is elapsed; the half life of the hollow microsphere is that the air pressure in the hollow microsphere is reduced to P 0 Half the time required; the method can obtain the following steps:
wherein: t is t 1/2 The gas is preserved for the hollow microsphere for half the service life; due to the intensity of the Raman scattered light, i.e. the characteristic peak area and D 2 The gas concentration is linearly related to D 2 The gas concentration is also linearly dependent on the pressure, and can be obtained:
wherein: a is that 0 Characteristic peak area of fuel gas when t=0 after inflation in the microsphere; a is that t The characteristic peak area of the fuel gas in the hollow microsphere after t time; characteristic peak area data a for 6 hollow microspheres in S41 (as in table 3) at t=0/t=672 0 The air-retaining half life of the 6-shot hollow microsphere can be obtained by bringing the/At into a formula (as shown in Table 5); thus, the calculation of the gas retention half life of the fuel gas in the hollow microspheres at normal temperature is completed.
TABLE 5
| Sequence number | 1 | 2 | 3 | 4 | 5 | 6 |
| Gas-retaining half life/h | 739 | 1242 | 1871 | 2662 | 2928 | 7250 |
Example 2:
comparison of gas half life measurement methods in various hollow microspheres (see Table 6)
TABLE 6
By actual comparison of the measurement methods, the method for online measurement of the air retention performance of the hollow microspheres through Raman spectrum has advantages in various evaluation items such as the transparency requirement of the hollow microspheres to be measured, batch measurement number, test time, test air pressure range, measurement uncertainty and the like.
Although embodiments of the present invention have been disclosed above, it is not limited to the details and embodiments shown and described, it is well suited to various fields of use for which the invention would be readily apparent to those skilled in the art, and accordingly, the invention is not limited to the specific details and illustrations shown and described herein, without departing from the general concepts defined in the claims and their equivalents.
Claims (1)
1. The online Raman measurement method of the air retention performance of the hollow microsphere is characterized by comprising the following steps of:
step one, carrying out spectrum acquisition on fuel gas in the hollow microspheres based on a Raman spectrometer;
step two, carrying out data processing of characteristic peak areas on fuel gas in the hollow microspheres; the Raman spectrum in a proper range is selected, the peak position fitting is carried out after the peak spectrum range is determined, and the characteristic peak area is obtained;
step three, obtaining a fitting curve of the air pressure-characteristic peak area;
step four, carrying out online gas-retaining half-life calculation on fuel gas in the hollow microspheres;
in the first step, the process is as follows: turning on a computer and a Raman spectrometer power supply, and performing equipment correction on the Raman spectrometer by using a silicon wafer; taking out the hollow microspheres to be detected filled with fuel gas from the gas holder, and adsorbing and fixing the hollow microspheres to be detected on a glass slide of a Raman spectrometer by using a static film; sequentially using 10X and 50X objective lenses to find the vertex of the hollow microsphere, and then focusing on the center point of the hollow microsphere; after focusing is completed on the hollow microspheres, setting experimental parameters and then detecting;
in the second step, the process is as follows: since the hollow microspheres can be glass hollow microspheres or multi-layer polymer hollow microspheres, the interior D thereof 2 Gas S 0 The strongest characteristic lines of the stage are all in a smaller wavenumber range, i.e. 150cm -1 ～600cm -1 And 415.67cm -1 The spectral line is far from other spectral lines, and the spectral line intensityAlso larger, the characteristic peak area is more easily obtained, thus selecting 415.67cm -1 The spectral line at the position is used as a basis for quantitative analysis, labSpec-6 software is adopted according to the selected spectral line, peak position fitting is carried out through a Gao Sige Lorentz mixing function, and the average value calculated for a plurality of times is taken to obtain the characteristic peak area;
in the third step, the process is as follows: intRepeatedly tracking and measuring characteristic peak area of fuel gas characteristic spectrum in the hollow microsphere for 5 times by using quantitative analysis function of Raman spectrometer at irregular time period and adopting method of step two to obtain A 1 、A 2 、A 2 、A 3 、A 5 Taking natural logarithm and then carrying out linear fitting on the obtained 5 data and corresponding air pressure, so as to obtain a fitting curve of air pressure-characteristic peak area;
in the fourth step, it includes:
s41, acquiring air pressure data of the multiple hollow microspheres in a plurality of periods; the process comprises the following steps: collecting all characteristic peak area data of 6 hollow microspheres in 5 periods by the method of the second step; thirdly, converting to obtain air pressure data of 6 hollow microspheres in 5 periods according to the fitting curve of the air pressure-characteristic peak area in the third step;
s42, deducing and calculating to obtain the gas-retaining half life of the hollow microspheres; the process comprises the following steps: according to the air pressure data of the hollow microsphere No. 1 in the step S41 in 5 periods, so as to obtain an air pressure-time fitting curve of the hollow microsphere No. 1, the change of the fuel gas in the hollow microsphere along with time follows the following formula:
wherein: t is the air retention time of the hollow microsphere and P 0 Pressure of internal fuel gas, P, at t=0 after inflation of hollow microspheres t The pressure of the fuel gas in the hollow microsphere after the time t is elapsed; the half life of the hollow microsphere is that the air pressure in the hollow microsphere is reduced to P 0 Half the time required; the method can obtain the following steps:
wherein: t is t 1/2 The gas is preserved for the hollow microsphere for half the service life; due to the intensity of the Raman scattered light, i.e. the characteristic peak area and D 2 The gas concentration is linearly related to D 2 The gas concentration is also linearly dependent on the pressure, and can be obtained:
wherein: a is that 0 Characteristic peak area of fuel gas when t=0 after inflation in the microsphere; a is that t The characteristic peak area of the fuel gas in the hollow microsphere after t time; characteristic peak area data a for 6 hollow microspheres in S41 at t=0/t=672 0 The air-retaining half life of the 6-shot hollow microspheres can be obtained by bringing the At into a formula; thus, the calculation of the gas retention half life of the fuel gas in the hollow microspheres at normal temperature is completed.
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